5.7 Practice Mean, SD and Practice

Front

What is the formula for the variance of a binomial distribution?

Back

Front

What is a binomial distribution?

Back

A binomial distribution is a probability distribution that summarizes the likelihood that a value will take one of two independent states and is defined by two parameters: the number of trials (n) and the probability of success (p).

Front

What is a geometric distribution?

Back

A geometric distribution models the number of trials needed to get the first success in a series of independent Bernoulli trials, each with the same probability of success.

Front

How do you calculate the standard deviation of a binomial distribution?

Back

Front

What is the probability of rolling a 6 for the first time on the 6th roll of a die?

Back

False. This scenario does not follow a binomial distribution because it requires a specific number of trials until the first success.

Front

In a binomial distribution, what does the term 'n' represent?

Back

The term 'n' represents the number of independent trials or experiments.

Front

In a binomial distribution, what does the term 'p' represent?

Back

The term 'p' represents the probability of success on a single trial.

Front

What is the expected value (mean) of a binomial distribution?

Back

Front

If a die is rolled 100 times, what is the probability of rolling a '4' exactly 25 times?

Back

0.010. This can be calculated using the binomial probability formula.

Front

What does it mean if a random variable has a binomial distribution?

Back

It means that the random variable counts the number of successes in a fixed number of independent Bernoulli trials.